Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ht |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4329728640000000000 = -1 · 216 · 34 · 510 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68033,-100367937] |
[a1,a2,a3,a4,a6] |
Generators |
[5137:367608:1] |
Generators of the group modulo torsion |
j |
-34008619684/4228250625 |
j-invariant |
L |
7.4180077811833 |
L(r)(E,1)/r! |
Ω |
0.10905814848273 |
Real period |
R |
4.2511769409164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600a3 20400a4 16320bs4 |
Quadratic twists by: -4 8 5 |